Extended local Born Fourier migration method

Huang, Lianjie; Fehler, Michael; Wu, Ru‐Shan

doi:10.1190/1.1444656

Cited by 84 publications

(52 citation statements)

References 21 publications

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“…In the ELBF method (Huang et al, 1999b), the Born approximation is applied within each extrapolation interval. To extrapolate the wavefield from depth level at Þ to another level at Þ ·½ Þ · ¡ Þ where ¡Þ is the extrapolation interval, the incident and scattered wavefields at Þ ·½ are extrapolated using the known wavefield …”

Section: Elbf Methodsmentioning

confidence: 99%

Advanced Wave-Equation Migration

Huang¹,

Fehler²

2001

The 5th International Symposium on Recent Advances in Exploration Geophysics (RAEG 2001)

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Wave-equation migration methods can more accurately account for complex wave phenomena than ray-tracing-based Kirchhoff methods that are based on the high-frequency asymptotic approximation of waves. With steadily increasing speed of massively parallel computers, wave-equation migration methods are becoming more and more feasible and attractive for imaging complex 3D structures. We present an overview of several efficient and accurate wave-equation-based migration methods that we have recently developed. The methods are implemented in the frequency-space and frequency-wavenumber domains and hence they are called dualdomain methods. In the methods, we make use of different approximate solutions of the scalar-wave equation in heterogeneous media to recursively downward continue wavefields. The approximations used within each extrapolation interval include the Born, quasi-Born, and Rytov approximations. In one of our dual-domain methods, we use an optimized expansion of the square-root operator in the one-way wave equation to minimize the phase error for a given model. This leads to a globally optimized Fourier finitedifference method that is a hybrid split-step Fourier and finitedifference scheme. Migration examples demonstrate that our dualdomain migration methods provide more accurate images than those obtained using the split-step Fourier scheme. The Bornbased, quasi-Born-based, and Rytov-based methods are suitable for imaging complex structures whose lateral variations are moderate, such as the Marmousi model. For this model, the computational cost of the Born-based method is almost the same as the split-step Fourier scheme, while other methods takes approximately 15-50 per cent more computational time. The globally optimized Fourier finite-difference method significantly improves the accuracy of the split-step Fourier method for imaging structures having strong lateral velocity variations, such as the SEG/EAGE salt model, at an approximately 30 per cent greater computational cost than the split-step Fourier method.

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Section: Elbf Methodsmentioning

confidence: 99%

Advanced Wave-Equation Migration

Huang¹,

Fehler²

2001

The 5th International Symposium on Recent Advances in Exploration Geophysics (RAEG 2001)

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“…Note that there is a singularity in equation (25) when z k and z k approach zero simultaneously which leads to an instability of the algorithm. This can be avoided using the following relation (Huang et al, 1999):…”

Section: One-way Propagators 221 First-order Separation-of-variablementioning

confidence: 99%

Seismic Illumination Analysis with One-Way Wave Propagators Coupled with Reflection/Transmission Coefficients in 3D Complex Media

Sun¹,

Fu²,

Wei³

et al. 2011

Earth and Environmental Sciences

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“…For detailed derivation and the physical meaning of the MFSB approximation and the generalized screen method, see Chapter 5 of this volume. The screen method has been successfully used in forward modeling (Wu, 1994;Xie and Wu, 1995Wu, 2001, 2005) and as backpropagators for seismic wave imaging/migration in both acoustic and elastic media (e.g., Wu and Xie, 1994;Huang and Wu, 1996;Huang et al, 1999aHuang et al, , 1999bXie andWu, 1998, 2005;Xie et al, 2000).…”

Section: Introductionmentioning

confidence: 99%

Simulation of High-Frequency Wave Propagation in Complex Crustal Waveguides Using Generalized Screen Propagators

Xie

2007

Advances in Wave Propagation in Heterogenous Earth

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In the crustal waveguide environment, the major part of wave energy is carried by forward propagating waves, including forward scattered waves. Therefore, neglecting backscattered waves in numerical modeling will not modify the main features of regional waves in most cases. By neglecting backscattering in the theory, the wave modeling becomes a forward marching problem in which the next step of propagation depends only on the present values of the wavefield in a transverse cross-section and the heterogeneities between the present cross-section and the next one (wavefield extrapolation interval). The saving of computation time and computer memory is enormous. A half-space screen propagator (generalized screen propagator) has been developed to accommodate the free-surface boundary condition for modeling SH wave propagation in complex crustal waveguides. The SH screen propagator has also been extended to handle irregular surface topography using conformal or nonconformal topographic transforms. The screen propagator for modeling regional SH waves has been calibrated extensively against some full-wave methods, such as the wavenumber integration, finite-difference and boundary element methods, for different crustal models. Excellent agreement with these full-wave methods demonstrated the validity and accuracy of the new one-way propagator method. For medium size problems, the screen-propagator method is 2-3 orders of magnitude faster than finite-difference methods. It has been used for the simulation of Lg propagation in crustal models with random heterogeneities and the related energy partition, attenuation and blockage. It is found that the leakage attenuation of Lg waves caused by large-angle forward scattering by random heterogeneities, which scatters the guided waves out of the trapped modes and leaking into the mantle, may contribute significantly to Lg attenuation and blockage in some regions. In the case of P-SV elastic screen propagators, plane wave reflection calculations have been incorporated into the elastic screen method to handle the free surface. Body waves, including the reflected and converted waves, can be calculated by real wavenumber integration; while surface waves (Rayleigh waves) can be obtained with imaginary wavenumber integration. Numerical tests proved the validity of the theory and methods.

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Extended local Born Fourier migration method

Cited by 84 publications

References 21 publications

Advanced Wave-Equation Migration

Advanced Wave-Equation Migration

Seismic Illumination Analysis with One-Way Wave Propagators Coupled with Reflection/Transmission Coefficients in 3D Complex Media

Simulation of High-Frequency Wave Propagation in Complex Crustal Waveguides Using Generalized Screen Propagators

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